{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5TOCQY636674MIESGQLHEVP7C3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6898a8ce5ca825473017ff0670f91ab2606fe128506634b6ebfd437964a84495","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-29T14:44:34Z","title_canon_sha256":"f57cab6b7793a99906d9133e0a31ff1f20da850b05bdeca71ae3354c41676e3b"},"schema_version":"1.0","source":{"id":"1507.08165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08165","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08165v1","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08165","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"5TOCQY636674","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5TOCQY636674MIES","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5TOCQY63","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:2f35685d0131bb5dbf4f6bcb726d53af5ac7dcae241ad494aa4e170c8fb36273","target":"graph","created_at":"2026-05-18T01:15:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study classical and quantum dynamics on the Euclidean Taub-NUT geometry coupled to an abelian gauge field with self-dual curvature and show that, even though Taub-NUT has neither bounded orbits nor quantum bound states, the magnetic binding via the gauge field produces both. The conserved Runge-Lenz vector of Taub-NUT dynamics survives, in a modified form, in the gauged model and allows for an essentially algebraic computation of classical trajectories and energies of quantum bound states. We also compute scattering cross sections and find a surprising electric-magnetic duality. Finally, we","authors_text":"Bernd J Schroers, Rogelio Jante","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-29T14:44:34Z","title":"Taub-NUT Dynamics with a Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08165","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fcca72c049d1ca56fd927b28d0dc0765d94ec7b0648f715cb9833cf1b1211b09","target":"record","created_at":"2026-05-18T01:15:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6898a8ce5ca825473017ff0670f91ab2606fe128506634b6ebfd437964a84495","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-29T14:44:34Z","title_canon_sha256":"f57cab6b7793a99906d9133e0a31ff1f20da850b05bdeca71ae3354c41676e3b"},"schema_version":"1.0","source":{"id":"1507.08165","kind":"arxiv","version":1}},"canonical_sha256":"ecdc2863dbf7bfc6209234167255ff16d8903f5f03244ce3f447789e56e5a74b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecdc2863dbf7bfc6209234167255ff16d8903f5f03244ce3f447789e56e5a74b","first_computed_at":"2026-05-18T01:15:52.688173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:52.688173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+inBIiU6qJh/TbJ/V+KaaZbf9JaDIX3rKcBxV1A1/BtRqHH4yQiYIHOK4IH73G2uoN6pNRu7KOen7B/bW7Z5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:52.688650Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.08165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcca72c049d1ca56fd927b28d0dc0765d94ec7b0648f715cb9833cf1b1211b09","sha256:2f35685d0131bb5dbf4f6bcb726d53af5ac7dcae241ad494aa4e170c8fb36273"],"state_sha256":"646cd426e4f260be3c20b44393f25efc821cc205f2c259e24db540f422415bee"}